HW $3$: $j$:$=\sqrt[\phantom{2}]{-1}$

A synchrophasor measurement unit $($PMU$)$ is installed at each bus. A transmission line with a line reactance of $x_s$:$=0\mathrm{.}45$ pu transmits power between bus $1$ and $2.$

Using this data, answer the following questions:

Voltage Phasor at bus $1$

$V_1$:$=1\mathrm{.}05pu$

What is the power angle $$ if the voltage $V_2$:$=0\mathrm{.}9$ pu to transfer power from $1$ to $2$; $P_{12}$:$=0\mathrm{.}8pu?$

Compute the reactive power flow from bus $1$ to bus $2$ and vice versa

Calculate the apparent power at bus $1$

Calculate the current I

Calculate the voltage drop across transmission line

Calculate the reactive power loss in transmission line

Bus $1$ generates reactive power to cover both the reactive power loss in the transmission line and the reactive power received by bus $2.$ True or False